Let $\left\{ f _ { n } : \mathbb { R } \longrightarrow \mathbb { R } \right\}$ be a sequence of continuous functions. Let $x _ { n } \longrightarrow x$ be a convergent sequence of reals. If $f _ { n } \longrightarrow f$ uniformly then $f _ { n } \left( x _ { n } \right) \longrightarrow f ( x )$.